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Question
A roundtable conference is to be held between 20 delegates of 20 countries. The number of ways in which they can be seated if two particular delegates are always to sit together is:
A roundtable conference is to be held between 20 delegates of 20 countries. The number of ways in which they can be seated if two particular delegates are always to sit together is:
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Solution
The correct option is B 18!2!
Number of ways of arranging n people around a round table is (n−1)!
As two delegates are always to be seated together, they can be considered as a single element.
Total number of elements =19.
∴ Number of ways of arranging =(19−1)!
The two people can be arranged in two ways
Total no. of ways =18!×2!
Number of ways of arranging n people around a round table is (n−1)!
As two delegates are always to be seated together, they can be considered as a single element.
Total number of elements =19.
∴ Number of ways of arranging =(19−1)!
The two people can be arranged in two ways
Total no. of ways =18!×2!
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